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A particle moves along the x-axis with position function a (t) = 4 sin for 0

A particle moves along the x-axis with position function a (t) = 4 sin for 0

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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A particle moves along the x-axis with position function æ (t) = 4 sin ( ") for 0 <t < 4n where t is measured in seconds. For what values of t does the particle have an acceleration of 0? A. t= 0, t = 27, and t = 47 B. t= n and t = 3m O C. t= 0, t = n, t = 2, t = 31, and t = 4n D. t = O E. t= 37
Transcribed Image Text:A particle moves along the x-axis with position function æ (t) = 4 sin ( ") for 0 <t < 4n where t is measured in seconds. For what values of t does the particle have an acceleration of 0? A. t= 0, t = 27, and t = 47 B. t= n and t = 3m O C. t= 0, t = n, t = 2, t = 31, and t = 4n D. t = O E. t= 37
The derivative of a function f is f'(x) = 2x (x + 5) (x – 6). From this function, which of the following must be true about f? A. f has a local maximum at x = 0 and local minimums at x = -5, 6. B. f has local maximums at æ = -5, 6 and a local minimum at x = 0. C. f has a local maximum at x = 2 and local minimums at x = -5, 6. O D. f has a local minimum at x = 0 and no local maximums. O E. f has local minimums at x -5, 6 and no local maximums.
Transcribed Image Text:The derivative of a function f is f'(x) = 2x (x + 5) (x – 6). From this function, which of the following must be true about f? A. f has a local maximum at x = 0 and local minimums at x = -5, 6. B. f has local maximums at æ = -5, 6 and a local minimum at x = 0. C. f has a local maximum at x = 2 and local minimums at x = -5, 6. O D. f has a local minimum at x = 0 and no local maximums. O E. f has local minimums at x -5, 6 and no local maximums.
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